RESEARCH BASE
Search 3,721 documents across 34 fields — every claim tier-rated by evidence
3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.
1,346 results for "foundations of mathematics" — page 5 of 68
N_4_16 — Club of Rome & Limits to Growth
The Club of Rome is an international think tank founded on April 8, 1968, in Rome, by Aurelio Peccei (1908–1984), an Italian industrialist (former managing director of Fiat and co-founder of Olivetti), and Alexander King
R_1_19 — Deep-Sea Hydrothermal Vent Origin of Life
The deep-sea hydrothermal vent hypothesis for the origin of life proposes that life on Earth began at submarine hydrothermal systems — either high-temperature black smoker vents (>350°C, acidic, rich in transition metals
R_1_14 — Biofilms: Microbial Communities, Quorum Sensing, and Cooperation
Biofilms are structured communities of microorganisms — bacteria, archaea, fungi, and algae — attached to surfaces and embedded in a self-produced matrix of extracellular polymeric substances (EPS): polysaccharides, prot
S_5_08 — Digital Privacy: Encryption, Zero-Knowledge Proofs, and Data Sovereignty
Digital privacy — the right of individuals to control their personal information in digital systems — has become one of the defining challenges of the 21st century, driven by the massive expansion of data collection (sur
S_2_16 — Microfluidics: Lab-on-a-Chip and Droplet Engineering
Microfluidics — the precise manipulation of fluids at the microliter-to-picoliter scale in channels typically 10–500 μm wide — enables miniaturized, high-throughput biological and chemical analysis. George Whitesides (Ha
ZA_4_08 — Photon Physics and the Nature of Light
The photon — the quantum of the electromagnetic field — is simultaneously one of the most familiar and most enigmatic particles in physics. Planck's introduction of energy quanta (E = hf, 1900) and Einstein's explanation
I_2_09 — French GEIPAN: Europe's Official UAP Investigation
GEIPAN (Groupe d'Études et d'Informations sur les Phénomènes Aérospatiaux Non Identifiés) — housed within France's national space agency CNES (Centre National d'Études Spatiales) — is the world's only continuously operat
V_1_09 — Ancient Egyptian & Babylonian Mathematics
Ancient Egyptian and Babylonian mathematics — the two oldest documented mathematical traditions — represent fundamentally different approaches to mathematical thinking, both achieving remarkable sophistication millennia
V_1_12 — Chinese Mathematics History
Chinese mathematics developed independently over at least 3,000 years, producing remarkable achievements often centuries before their European counterparts. The Jiuzhang Suanshu (Nine Chapters on the Mathematical Art, co
V_4_04 — Unsolved Problems in Mathematics
Mathematics has always been driven by problems that resist solution — conjectures so deep that their resolution reshapes entire fields. The Clay Mathematics Institute's seven Millennium Prize Problems ($1 million each, a
V_4_21 — Cryptography & Mathematical Foundations
Cryptography — the science of secure communication — rests on some of the deepest results in number theory, algebra, and computational complexity. Modern public-key cryptography was born in 1976 when Whitfield Diffie and
V_4_06 — Mathematics in Natural Forms: Spirals, Symmetry, and Phyllotaxis
Mathematics pervades the natural world in patterns of astonishing regularity — from the logarithmic spirals of nautilus shells, hurricanes, and galaxies, to the Fibonacci phyllotaxis of sunflower seed heads and pinecone
M_5_24 — Library of Alexandria: Lost Knowledge, Reconstruction, and Historical Reality
The Library of Alexandria (Greek: Megalē Bibliothēkē), founded under Ptolemy I Soter (r. 305–283 BCE) and substantially developed under Ptolemy II Philadelphus (r. 283–246 BCE), was the principal research institution of
M_5_04 — Submerged Structures of the Mediterranean — Pavlopetri to Baiae
The Mediterranean Sea contains some of the world's best-documented and most archaeologically significant submerged settlements and structures — sites that were built on dry land and subsequently inundated by combinations
M_3_13 — Out-of-Place Artifacts Systematic Evaluation
Out-of-place artifacts (OOPArts) are objects found in archaeological contexts that appear anomalous — either too technologically advanced, too old, or too far from their expected geographic origin. This document systemat
M_3_03 — Archaeoacoustics and Acoustic Properties of Ancient Structures
Archaeoacoustics is the study of the acoustic properties of ancient structures, investigating whether builders intentionally designed ritual, ceremonial, and sacred spaces to produce specific sound effects — resonance, e
M_1_01 — OOPArts Catalog (Out-of-Place Artifacts)
"Out-of-Place Artifacts" (OOPArts) are objects that appear anomalous for their age or context. This document catalogs 17 major OOPArts, individually rated. The critical finding: 4 are GENUINE (Tier 1) — real artifacts wi
M_1_15 — Out-of-Place Artifacts: Systematic Evaluation of Anomalous Objects
"Out-of-Place Artifacts" (OOParts) — objects allegedly found in geological or archaeological contexts that seem anachronistic for their supposed age or location — have long served as cornerstones of alternative archaeolo
M_1_03 — Iron Pillar of Delhi — Unexplained Corrosion Resistance
The Iron Pillar of Delhi is a 7.21-meter, 6.5-tonne wrought iron column standing in the Qutb Minar complex in Mehrauli, New Delhi, dating to approximately 402 CE during the Gupta dynasty — most likely commissioned by Cha
A_2_19 — Apocalypse of Abraham: Jewish Pseudepigraphon and Cosmological Vision
The Apocalypse of Abraham is a Jewish pseudepigraphon composed in the late 1st or early 2nd century CE, surviving exclusively in Old Slavonic (Church Slavonic) manuscripts dating from the 14th century onward. The text co
BROWSE BY SECTION — 3,721 documents across 34 fields